GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function
Generalized H2 （GH2） stability analysis and controller design of the uncertain discrete-time Takagi-Sugeno （T-S） fuzzy systems with state delay are studied based on a switching fuzzy model and piecewise Lyapunov function. GH2 stability sufficient conditions are derived in terms of linear matrix ineq...
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| Published in | International journal of automation and computing Vol. 6; no. 3; pp. 261 - 266 |
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| Main Author | |
| Format | Journal Article |
| Language | Chinese |
| Published |
2009
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1476-8186 1751-8520 |
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| Abstract | Generalized H2 （GH2） stability analysis and controller design of the uncertain discrete-time Takagi-Sugeno （T-S） fuzzy systems with state delay are studied based on a switching fuzzy model and piecewise Lyapunov function. GH2 stability sufficient conditions are derived in terms of linear matrix inequalities （LMIs）. The interactions among the fuzzy subsystems are considered. Therefore, the proposed conditions are less conservative than the previous results. Since only a set of LMIs is involved, the controller design is quite simple and numerically tractable. To illustrate the validity of the proposed method, a design example is provided. |
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| AbstractList | Generalized H2 （GH2） stability analysis and controller design of the uncertain discrete-time Takagi-Sugeno （T-S） fuzzy systems with state delay are studied based on a switching fuzzy model and piecewise Lyapunov function. GH2 stability sufficient conditions are derived in terms of linear matrix inequalities （LMIs）. The interactions among the fuzzy subsystems are considered. Therefore, the proposed conditions are less conservative than the previous results. Since only a set of LMIs is involved, the controller design is quite simple and numerically tractable. To illustrate the validity of the proposed method, a design example is provided. |
| Author | Zhi-Le Xia Jun-Min Li |
| AuthorAffiliation | School of Science, Xidian University, Xi＇an 710071, PRC School of Mathematics and Information Engineering, Taizhou University, Taizhou 317000, PRC |
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| DocumentTitleAlternate | GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function |
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| Notes | TP273 Generalized H2 （GH2） control, fuzzy systems, linear matrix inequalities （LMIs）, piecewise Lyapunov function, switchingfuzzy model. TP13 11-5350/TP |
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| PublicationTitle | International journal of automation and computing |
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| Snippet | Generalized H2 （GH2） stability analysis and controller design of the uncertain discrete-time Takagi-Sugeno （T-S） fuzzy systems with state delay are studied... |
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| StartPage | 261 |
| SubjectTerms | Lyapunov函数 充分条件 控制器设计 模糊模型 模糊系统 相互作用 稳定性分析 线性矩阵不等式 |
| Title | GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function |
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